β-Molecular Rearrangement Process, But Not anα-Process, as Governing the Homogeneous Crystal-Nucleation Rate in a Supercooled Liquid

1996 ◽  
Vol 69 (7) ◽  
pp. 1863-1868 ◽  
Author(s):  
Takaaki Hikima ◽  
Minoru Hanaya ◽  
Masaharu Oguni
Keyword(s):  
Nucleation Rate ◽  
Supercooled Liquid ◽  
Crystal Nucleation ◽  
Molecular Rearrangement ◽  
Rearrangement Process ◽  
Homogeneous Crystal

scholarly journals Dependence of homogeneous crystal nucleation in water droplets on their radii and its implication for modeling the formation of ice particles in cirrus clouds

2017 ◽  
Vol 19 (30) ◽  
pp. 20075-20081 ◽  
Author(s):  
Yuri S. Djikaev ◽  
Eli Ruckenstein
Keyword(s):  
Nucleation Rate ◽  
Ice Nucleation ◽  
Cirrus Clouds ◽  
Crystal Nucleation ◽  
Water Droplets ◽  
Ice Particles ◽  
Homogeneous Crystal

Dependence of the ice-nucleation-rate in water droplets on their radii and temperature is determined by taking into account volume-based and surface-stimulated modes.

scholarly journals Heterogeneous versus homogeneous crystal nucleation of hard spheres

Soft Matter ◽  
2019 ◽  
Vol 15 (47) ◽  
pp. 9625-9631 ◽  
Author(s):  
Jorge R. Espinosa ◽  
Carlos Vega ◽  
Chantal Valeriani ◽  
Daan Frenkel ◽  
Eduardo Sanz
Keyword(s):  
Nucleation Rate ◽  
Heterogeneous Nucleation ◽  
Cell Walls ◽  
Homogeneous Nucleation ◽  
Hard Spheres ◽  
Crystal Nucleation ◽  
Experimental Measurements ◽  
Homogeneous Crystal

Heterogeneous nucleation at the cell walls may at least partly explain the reported discrepancy between experimental measurements and simulation estimates of the homogeneous nucleation rate.

scholarly journals Impurities and Homogeneous Crystal Nucleation in Aqueous Solutions - An Overview

2019 ◽  
Vol 16 (3) ◽  
pp. 198-208
Author(s):  
C. K. Mahadevan
Keyword(s):  
Aqueous Solution ◽  
Aqueous Solutions ◽  
Research Group ◽  
Present Author ◽  
Crystal Nucleation ◽  
Nucleation Process ◽  
Nucleation Parameters ◽  
The Past ◽  
Homogeneous Crystal ◽  
Made In

Nucleation process is the most important stage in the formation of a crystal and has attracted the attention of researchers due to its importance in many technological and biological contexts. As the presence of impurities affects the nucleation process significantly, several studies have been made in the past to understand it. In this article is presented an overview of various studies made to understand the effect of soluble impurities on the crystal nucleation parameters of certain important materials in aqueous solution focusing the results reported by the research group of the present author.

Thermodynamics and kinetics of homogeneous crystal nucleation studied by computer simulation

2000 ◽  
Vol 62 (22) ◽  
pp. 14690-14702 ◽  
Author(s):  
H. E. A. Huitema ◽  
J. P. van der Eerden ◽  
J. J. M. Janssen ◽  
H. Human
Keyword(s):  
Computer Simulation ◽  
Crystal Nucleation ◽  
Thermodynamics And Kinetics ◽  
Homogeneous Crystal ◽  
Kinetics Of

Heterogeneous and homogeneous crystal nucleation in colloidal hard-sphere like microgels at low metastabilities

Soft Matter ◽  
2011 ◽  
Vol 7 (23) ◽  
pp. 11267 ◽  
Author(s):  
Markus Franke ◽  
Achim Lederer ◽  
Hans Joachim Schöpe
Keyword(s):  
Hard Sphere ◽  
Crystal Nucleation ◽  
Homogeneous Crystal

Nucleation and Glass Formation

1985 ◽  
Vol 57 ◽  
Author(s):  
D. R. Uhlmann ◽  
M. C. Weinberg
Keyword(s):  
Glass Formation ◽  
Nucleation Theory ◽  
Crystal Nucleation ◽  
Oxide Glass ◽  
Classical Nucleation Theory ◽  
Nucleation Kinetics ◽  
Formation Behavior ◽  
Homogeneous Crystal ◽  
Exponential Factors

AbstractThe role of nucleation kinetics in affecting glass formation behavior is discussed. Also considered are measurements of homogeneous crystal nucleation in a variety of liquids. For a number of oxide glass-forming liquids, available data indicate pre-exponential factors which are larger than those predicted from classical nucleation theory by factors of 1017 to 1049. Possible sources of this discrepancy are discussed.

scholarly journals Analytical solutions of mushy layer equations describing directional solidification in the presence of nucleation

2018 ◽  
Vol 376 (2113) ◽  
pp. 20170217 ◽  
Author(s):  
Dmitri V. Alexandrov ◽  
Alexander A. Ivanov ◽  
Irina V. Alexandrova
Keyword(s):  
Phase Transition ◽  
Supercooled Liquid ◽  
Crystal Nucleation ◽  
Supersaturated Solution ◽  
Pure Liquid ◽  
Particle Nucleation ◽  
Nucleation Kinetics ◽  
Differential Model ◽  
Phase Transition Interface ◽  
Phase Transition Boundary

The processes of particle nucleation and their evolution in a moving metastable layer of phase transition (supercooled liquid or supersaturated solution) are studied analytically. The transient integro-differential model for the density distribution function and metastability level is solved for the kinetic and diffusionally controlled regimes of crystal growth. The Weber–Volmer–Frenkel–Zel’dovich and Meirs mechanisms for nucleation kinetics are used. We demonstrate that the phase transition boundary lying between the mushy and pure liquid layers evolves with time according to the following power dynamic law: , where Z 1 ( t )= βt 7/2 and Z 1 ( t )= βt 2 in cases of kinetic and diffusionally controlled scenarios. The growth rate parameters α , β and ε are determined analytically. We show that the phase transition interface in the presence of crystal nucleation and evolution propagates slower than in the absence of their nucleation. This article is part of the theme issue ‘From atomistic interfaces to dendritic patterns’.

scholarly journals Crystallization of Supercooled Liquids: Self-Consistency Correction of the Steady-State Nucleation Rate

Entropy ◽  
2020 ◽  
Vol 22 (5) ◽  
pp. 558 ◽  
Author(s):  
Alexander S. Abyzov ◽  
Jürn W. P. Schmelzer ◽  
Vladimir M. Fokin ◽  
Edgar D. Zanotto
Keyword(s):  
Free Energy ◽  
Steady State ◽  
Size Distribution ◽  
Gibbs Free Energy ◽  
Nucleation Rate ◽  
Cluster Size ◽  
Cluster Formation ◽  
Cluster Size Distribution ◽  
Crystal Nucleation ◽  
Self Consistency

Crystal nucleation can be described by a set of kinetic equations that appropriately account for both the thermodynamic and kinetic factors governing this process. The mathematical analysis of this set of equations allows one to formulate analytical expressions for the basic characteristics of nucleation, i.e., the steady-state nucleation rate and the steady-state cluster-size distribution. These two quantities depend on the work of formation, Δ G ( n ) = − n Δ μ + γ n 2 / 3 , of crystal clusters of size n and, in particular, on the work of critical cluster formation, Δ G ( n c ) . The first term in the expression for Δ G ( n ) describes changes in the bulk contributions (expressed by the chemical potential difference, Δ μ ) to the Gibbs free energy caused by cluster formation, whereas the second one reflects surface contributions (expressed by the surface tension, σ : γ = Ω d 0 2 σ , Ω = 4 π ( 3 / 4 π ) 2 / 3 , where d 0 is a parameter describing the size of the particles in the liquid undergoing crystallization), n is the number of particles (atoms or molecules) in a crystallite, and n = n c defines the size of the critical crystallite, corresponding to the maximum (in general, a saddle point) of the Gibbs free energy, G. The work of cluster formation is commonly identified with the difference between the Gibbs free energy of a system containing a cluster with n particles and the homogeneous initial state. For the formation of a “cluster” of size n = 1 , no work is required. However, the commonly used relation for Δ G ( n ) given above leads to a finite value for n = 1 . By this reason, for a correct determination of the work of cluster formation, a self-consistency correction should be introduced employing instead of Δ G ( n ) an expression of the form Δ G ˜ ( n ) = Δ G ( n ) − Δ G ( 1 ) . Such self-consistency correction is usually omitted assuming that the inequality Δ G ( n ) ≫ Δ G ( 1 ) holds. In the present paper, we show that: (i) This inequality is frequently not fulfilled in crystal nucleation processes. (ii) The form and the results of the numerical solution of the set of kinetic equations are not affected by self-consistency corrections. However, (iii) the predictions of the analytical relations for the steady-state nucleation rate and the steady-state cluster-size distribution differ considerably in dependence of whether such correction is introduced or not. In particular, neglecting the self-consistency correction overestimates the work of critical cluster formation and leads, consequently, to far too low theoretical values for the steady-state nucleation rates. For the system studied here as a typical example (lithium disilicate, Li 2 O · 2 SiO 2 ), the resulting deviations from the correct values may reach 20 orders of magnitude. Consequently, neglecting self-consistency corrections may result in severe errors in the interpretation of experimental data if, as it is usually done, the analytical relations for the steady-state nucleation rate or the steady-state cluster-size distribution are employed for their determination.

Steady-State Crystal Nucleation Rate of Polyamide 66 by Combining Atomic Force Microscopy and Fast-Scanning Chip Calorimetry

2020 ◽  
Vol 53 (13) ◽  
pp. 5560-5571 ◽  
Author(s):  
Rui Zhang ◽  
Evgeny Zhuravlev ◽  
Jürn W. P. Schmelzer ◽  
René Androsch ◽  
Christoph Schick
Keyword(s):  
Atomic Force Microscopy ◽  
Steady State ◽  
Nucleation Rate ◽  
Crystal Nucleation ◽  
Polyamide 66 ◽  
Force Microscopy ◽  
Atomic Force ◽  
Chip Calorimetry ◽  
Fast Scanning Chip Calorimetry
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